448246656 has 256 divisors, whose sum is σ = 1555948800. Its totient is φ = 125245440.

The previous prime is 448246607. The next prime is 448246679. The reversal of 448246656 is 656642844.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 493755 + ... + 494661.

It is an arithmetic number, because the mean of its divisors is an integer number (6077925).

Almost surely, 2^448246656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 448246656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777974400).

448246656 is an abundant number, since it is smaller than the sum of its proper divisors (1107702144).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

448246656 is a wasteful number, since it uses less digits than its factorization.

448246656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 936 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The square root of 448246656 is about 21171.8363870497. The cubic root of 448246656 is about 765.3128747123.

The spelling of 448246656 in words is "four hundred forty-eight million, two hundred forty-six thousand, six hundred fifty-six".